{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/ourownstory/neural_prophet/blob/master/tutorials/feature-use/season_multiplicative_air_travel.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Multiplicative Seasonality \n",
    "By default NeuralProphet fits additive seasonalities, meaning the effect of the seasonality is added to the trend to get the forecast. This time series of the number of air passengers is an example of when additive seasonality does not work:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "if 'google.colab' in str(get_ipython()):\n",
    "    !pip install git+https://github.com/ourownstory/neural_prophet.git # may take a while\n",
    "    #!pip install neuralprophet # much faster, but may not have the latest upgrades/bugfixes\n",
    "\n",
    "import pandas as pd\n",
    "from neuralprophet import NeuralProphet, set_log_level\n",
    "set_log_level(\"ERROR\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_location = \"https://raw.githubusercontent.com/ourownstory/neuralprophet-data/main/datasets/\"\n",
    "df = pd.read_csv(data_location + \"air_passengers.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ba886ccec3074f428552c265191d5ef1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/209 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                                                                                  \r"
     ]
    }
   ],
   "source": [
    "m = NeuralProphet()\n",
    "metrics = m.fit(df, freq=\"MS\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "future = m.make_future_dataframe(df, periods=50, n_historic_predictions=len(df))\n",
    "forecast = m.predict(future)\n",
    "fig = m.plot(forecast)\n",
    "# fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time series has a clear yearly cycle, but the seasonality in the forecast is too large at the start of the time series and too small at the end. In this time series, the seasonality is not a constant additive factor as assumed by NeuralProphet, rather it grows with the trend. This is multiplicative seasonality.\n",
    "\n",
    "NeuralProphet can model multiplicative seasonality by setting `seasonality_mode=\"multiplicative\"` in the input arguments:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d078e7d8a88d49658ab15f9cead31616",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/209 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                                                                                  \r"
     ]
    }
   ],
   "source": [
    "m = NeuralProphet(seasonality_mode=\"multiplicative\")\n",
    "metrics = m.fit(df, freq=\"MS\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "future = m.make_future_dataframe(df, periods=50, n_historic_predictions=len(df))\n",
    "forecast = m.predict(future)\n",
    "fig = m.plot(forecast)\n",
    "# fig_param = m.plot_parameters()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The components figure will now show the seasonality as a percent of the trend: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_param = m.plot_components(forecast)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the seasonality is only fit on data occuring at the start of the month. Thus, the plotted values for seasonality inbetween months may take on random values. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Setting`seasonality_mode=\"multiplicative\"` will model all seasonalities as multiplicative, including custom seasonalities added with `add_seasonality`."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "np-dev",
   "language": "python",
   "name": "np-dev"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
